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Finding the Fourth Proportional to 139,132.50, 208,696.16 and 128,297.12

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Solution

The fourth proportional to 139,132.50, 208,696.16 and 128,297.12 is: 192,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,132.50 : 208,696.16 = 128,297.12 : x
  2. Step 2: Convert to fraction form
    139,132.50/208,696.16 = 128,297.12/x
  3. Step 3: Cross multiply
    139,132.50x = 208,696.16 × 128,297.12
  4. Step 4: Simplify right side
    139,132.50x = 26,775,116,283.06
  5. Step 5: Solve for x
    x = 26,775,116,283.06/139,132.50
  6. Step 6: Final answer
    x = 192,443.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.